A company produces electronic components designed to have a collector-emitted voltage of 30 V (volts), with a tolerance of + 0.2 V. The production process produces components with an average collector-emitted voltage of 30.1 V and a standard deviation of 0.15 V. The process capability index for this production process is ______.
29.8
30.2
0.67
0.22
Expert Answer
Process Capability Cpk
C_{pk}=min[frac{USL-mu }{3sigma },frac{mu -LSL}{3sigma }]
USL = 30+0.2 = 30.2
LSL = 30-0.2 = 29.8
Mean mu = 30.1
Standard deviation sigma = 0.15
C_{pk}=min[frac{30.2-30.1 }{3*0.15 },frac{30.1 -29.08}{3*0.15 }]
C_{pk}=min[0.22,0.67]
Process Capability Cpk = 0.22